Finding the Fourth Proportional to 1,412.59, 1,949.43 and 823.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.59 : 1,949.43 = 823.27 : x
2. Step 2: Convert to fraction form
   1,412.59/1,949.43 = 823.27/x
3. Step 3: Cross multiply
   1,412.59x = 1,949.43 × 823.27
4. Step 4: Simplify right side
   1,412.59x = 1,604,907.24
5. Step 5: Solve for x
   x = 1,604,907.24/1,412.59
6. Step 6: Final answer
   x = 1,136.15